Geodesic
Cauchy problem and averaging in Fock space
Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 1, pp. 92-106 
A. Ya. Kazakov. Cauchy problem and averaging in Fock space. Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 1, pp. 92-106. http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a2/
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     author = {A. Ya. Kazakov},
     title = {Cauchy problem and averaging in {Fock} space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {92--106},
     year = {1998},
     volume = {117},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_117_1_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate a Cauchy problem in the Fock space for a system consisting of a two-level atom, a quantum field, and a classical field. A solution estimate is obtained for the Cauchy problem with initial data from a special class. This class is invariant with respect to the dynamic semigroup of the system. We propose an averaging method for solving the Cauchy problem in the case where the Hamiltonian parameters differ greatly in the order of magnitude. An estimate of the averaging error is obtained.

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